A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like product B. What is the least number of consumers that must have liked both products?

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Solution

TOTAL CONSUMERS=1000
CONSUMERS WHO LIKE A=720
CONSUMERS WHO LIKE B=450
TOTAL CONSUMERS WHO LIKE A & B=720+450=1170
i.e. LEAST NUMBER OF CONSUMERS WHO LIKE BOTH A & B=1170-1000=170

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A market research group conducted a survey of 1000 consumers and reported that 720 consumers like product A and 450 consumers like product B. What is the least number of consumers that must have liked both products?

TOTAL CONSUMERS=1000CONSUMERS WHO LIKE A=720CONSUMERS WHO LIKE B=450TOTAL CONSUMERS WHO LIKE A & B=720+450=1170i.e. LEAST NUMBER OF CONSUMERS WHO LIKE BOTH A & B=1170-1000=170

TOTAL CONSUMERS=1000
CONSUMERS WHO LIKE A=720
CONSUMERS WHO LIKE B=450
TOTAL CONSUMERS WHO LIKE A & B=720+450=1170
i.e. LEAST NUMBER OF CONSUMERS WHO LIKE BOTH A & B=1170-1000=170